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3 years ago

Apply the distributive property to factor out the greatest common factor. 12+20=

Mathematics

1 answer:

Rina8888 [55]3 years ago

3 0

Answer: 12+20 = 12 + 20 = 4(3+5)

Step-by-step explanation:

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What single percentage change is equivalent to a 13% decrease followed by a 19% decrease?

Mrac [35]

Answer: 70.47%

100% - 13% = 87%

19% of 87% = 16.53%

remaining percent
= 87% - 16.53%
=70.47%

6 0

3 years ago

What is the cotangent of angle I?

Karolina [17]

The cotangent of an angle is the adjacent side over the opposite side. The adjacent side is equal to 15, and the opposite side is equal to 8. 15/8
The cotangent of angle I is 15/8.

4 0

3 years ago

Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100 and a standard deviation sigma equa

aleksley [76]

Answer: 0.5467

Step-by-step explanation:

We assume that the test scores for adults are normally distributed with

Mean : $\mu=100$

Standard deviation : $\sigma=20$

Sample size : = 50

Let x be the random variable that represents the IQ test scores for adults.

Z-score : $z=\dfrac{x-\mu}{\sigma}$

For x =85

$z=\dfrac{85-100}{20}\approx-0.75$

For x =115

$z=\dfrac{115-100}{20}\approx0.75$

By using standard normal distribution table , the probability the mean of the sample is between 95 and 105 :-

$P(85$

Hence, the probability that a randomly selected adult has an IQ between 85 and 115 =0.5467

7 0

3 years ago

Himpunan penyelesaian pertidaksamaan nilai mutlak |2x-4| > |3x+2|

Stells [14]

Answer:

The solution in interval notation is:

$(-6,\frac{2}{5})$ .

The solution in inequality notation is:

$-6$ .

Step-by-step explanation:

I think you are asking how to solve this for $x$ .

Keep in mind $|x|=\sqrt{x^2}$ .

$|2x-4|>|3x+2|$

$\sqrt{(2x-4)^2}>\sqrt{(3x+2)^2}$

If $\sqrt{u}>\sqrt{v}$ then $u>v$ .

$(2x-4)^2>(3x+2)^2$

Subtract $(2x-4)^2$ on both sides:

$0>(3x+2)^2-(2x-4)^2$

Factor the difference of squares $a^2-b^2=(a-b)(a+b)$ :

$0>((3x+2)-(2x-4))((3x+2)+(2x-4))$

Simplify inside the factors:

$0>(x+6)(5x-2)$

$(x+6)(5x-2)$

The left hand side is a parabola that faces up. I know this because the degree is 2.

The zeros of the the parabola are at x=-6 and x=2/5.

We can solve x+6=0 and 5x-2=0 to reach that conclusion.

x+6=0

Subtract 6 on both sides:

x=-6

5x-2=0

Add 2 on both sides:

5x=2

Divide both sides by 5:

x=2/5

Since the parabola faces us and $(x+6)(5x-2)$ then we are looking at the interval from x=-6 to x=2/5 as our solution. That part is where the parabola is below the x-axis. We are looking for where it is below since it says the where is the parabola<0.

The solution in interval notation is:

$(-6,\frac{2}{5})$ .

The solution in inequality notation is:

$-6$ .

6 0

4 years ago

(38 x + 61 y) - (3 x - 11 y)

tamaranim1 [39]

Answer:

35x+72y

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers